“The symbol is not a mere formality; it is the very essence of algebra. Without the symbol the object is a human perception and reflects all the phases under which the human senses grasp it; replaced by a symbol the… — Tobias Dantzig Copy Share Image
“The letter is susceptible of operations which enables one to transform literal expressions and thus to paraphrase any statement into a number of equivalent forms. It is this power of transformation that lifts algebra above the level of a convenient… — Tobias Dantzig Copy Share Image
“The symbol is not a mere formality; it is the very essence of algebra. Without the symbol the object is a human perception and… — Tobias Dantzig Copy Share
“The letter is susceptible of operations which enables one to transform literal expressions and thus to paraphrase any statement into a number of equivalent… — Tobias Dantzig Copy Share
The harmony of the universe knows only one musical form - the legato; while the symphony of number knows only its opposite - the… — Tobias Dantzig Copy Share
The importance of infinite processes for the practical exigencies of technical life can hardly be overemphasized. Practically all applications of arithmetic to geometry, mechanics,… — Tobias Dantzig Copy Share
They [the mathematicians of the Enlightenment] defined their terms vaguely and used their methods loosely, and the logic of their arguments was made to… — Tobias Dantzig Copy Share
The practical man demands an appearance of reality at least. Always dealing in the concrete, he regards mathematical terms not as symbols or thought… — Tobias Dantzig Copy Share
And so matching by itself is incapable of creating an art of reckoning. Without our ability to arrange things in ordered succession little progress… — Tobias Dantzig Copy Share
Are not most professional mathematicians spared all trouble incident to income? — Tobias Dantzig Copy Share
“In the history of culture the discovery of zero will always stand out as one of the greatest single achievements of the human race.” — Tobias Dantzig Copy Share
